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7-\sqrt[3]{-0.125}
Calculate \sqrt[3]{343} and get 7.
7-\left(-\frac{1}{2}\right)
Calculate \sqrt[3]{-0.125} and get -\frac{1}{2}.
7+\frac{1}{2}
The opposite of -\frac{1}{2} is \frac{1}{2}.
\frac{15}{2}
Add 7 and \frac{1}{2} to get \frac{15}{2}.